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Finding the Fourth Proportional to 241,717.40, 362,138.70 and 148,113.80

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Solution

The fourth proportional to 241,717.40, 362,138.70 and 148,113.80 is: 221,902.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,717.40 : 362,138.70 = 148,113.80 : x
  2. Step 2: Convert to fraction form
    241,717.40/362,138.70 = 148,113.80/x
  3. Step 3: Cross multiply
    241,717.40x = 362,138.70 × 148,113.80
  4. Step 4: Simplify right side
    241,717.40x = 53,637,738,984.06
  5. Step 5: Solve for x
    x = 53,637,738,984.06/241,717.40
  6. Step 6: Final answer
    x = 221,902.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.